Quantitative measurement of the T1 relaxation time is of great importance for the clinical diagnosis or optimisation of image contrast. Numerous Look-Locker method have been proposed for T1 mapping. One of them demonstrated by the community is TAPIR which has been shown to be fast and robust. However, TAPIR still demands substantial acquisition time for whole-brain coverage. This work aims to develop a fast Look-Locker method with whole-brain coverage on a basis of EPIK. It was shown that the proposed method acquired whole-brain T1 data (2.1 mm2 resolution × 50 slices × 30 time-points) within 3.5 minutes.